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Finding the Fourth Proportional to 3,759.96, 5,192.46 and 3,099

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Solution

The fourth proportional to 3,759.96, 5,192.46 and 3,099 is: 4,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.96 : 5,192.46 = 3,099 : x
  2. Step 2: Convert to fraction form
    3,759.96/5,192.46 = 3,099/x
  3. Step 3: Cross multiply
    3,759.96x = 5,192.46 × 3,099
  4. Step 4: Simplify right side
    3,759.96x = 16,091,433.54
  5. Step 5: Solve for x
    x = 16,091,433.54/3,759.96
  6. Step 6: Final answer
    x = 4,279.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.